Critical behavior of long linear k-mers on honeycomb lattices |
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Authors: | D.A. Matoz-Fernandez |
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Affiliation: | Dpto. de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis - CONICET, Chacabuco 917, 5700 San Luis, Argentina |
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Abstract: | Monte Carlo (MC) simulations, finite-size scaling and theoretical analysis have been carried out to study the critical behavior of long linear particles of length k (k-mers) on honeycomb lattices. A nematic phase, characterized by a big domain of parallel k-mers, is separated from the isotropic state, by a continuous transition occurring at a finite density θc. Our study allowed: (1) to determine the minimum value of k (kmin), which allows the formation of the nematic phase, being kmin=11; (2) to predict the dependence of θc on k, being θc(k)∝k−1; and (3) to obtain the critical exponents, which indicate that the transition belongs to the 2D three-state Potts universality class. |
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Keywords: | 05.50.+q 64.70.Md 75.40.Mg |
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